Greatest Common Factor of 720/272, 472/774, 229/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/272, 472/774, 229/936

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 720/272,472/774,229/936

Given fractions are 720/272,472/774,229/936

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 720,472,229

Greatest Common Factor of Numerators i.e. GCF of 720,472,229 is 1 .

LCM of Denominators means LCM of 272,774,936 as per the given fractions.

LCM of 272,774,936 is 1368432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,472,229

GCF of Fractions 720/272,472/774,229/936 is 1/1368432

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 720,472,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,472,229 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 720,472,229 . The biggest common factor number is the GCF number.
So the greatest common factor 720,472,229 is 1.

Lets's calculate LCM of 272,774,936

2 272, 774, 936
2 136, 387, 468
2 68, 387, 234
3 34, 387, 117
3 34, 129, 39
34, 43, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 34 x 43 x 13 = 1368432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368432

Therefore, the GCF of Fractions 720/272,472/774,229/936 is 1/1368432

Least Common Multiple of 272,774,936 with GCF Formula

Least Common Multiple of 272,774,936 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 272,774,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,774,936) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(272,774,936) x common factors =2 x 72 = 144

LCM(272,774,936) = ( 272 × 774 × 936 ) / 144

LCM(272,774,936) = 197054208 / 144

LCM(272,774,936) = 1368432


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 720/272, 472/774, 229/936

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 720/272, 472/774, 229/936?

Answer: GCF of Numerators as per given numbers 720/272, 472/774, 229/936 is

GCF of Numerators i.e. for 720,472,229 is 1

LCM of denominators i.e. for 272,774,936 is 1368432.

Thus, GCF of Fractions is 1/1368432.Finally, GCF of Fractions for 720/272, 472/774, 229/936 is 1/1368432.